Near as I know, the closest the Bible comes to actually saying "homosexual" is in Paul's use of the Greek word ἀρσενοκοίτης (arsenokoites).; It seems to essentially mean "one who abuses oneself with a member of their own sex."
When you think about that, the notion of abuse means that one is somehow acting against one's own nature. But I do not think, however, that Paul -- or anyone else in the Biblical age and much longer afterward -- could have understood that as meaning anything like a person whose own nature was oriented so. When you understand human sexuality as being inextricably associated with the organs by which it is expressed, you can't have any notion of a "homosexual" the way we understand it today. It must, therefore, be considered an aberration -- a misuse of the the sexual faculty.
Today, we understand that the pre-eminent sex organ is neither the penis nor vagina, but the brain.